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On the surface of the earth at 1 atm pre...

On the surface of the earth at 1 atm pressure, a balloon filled with `H_(2)` gas occupies 500mL. This volume is `(5)/(6)` of its maximum capacity. The balloon is left in air. It starts rising. The height above which the balloon will burst if temperature of the atmospere remains constant and the pressure decreases 1 mm for every 100cm rise of height is:

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